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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 43v, page id 00068217:0088
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 44r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068217&page=88
# Source image: https://digitale-sammlungen.gwlb.de/content/00068217/jpgs/default/00000088.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.85
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

a. ab.
a
X’aqu. a + 2ab
abc
Xaequi aX + 2 al X
aeb aequ. ab a -3abc. vel a b aequ. a b - a
ab X
ab (a b aequ. ab X = 3 abe vel ab aequ. a x = a
quod et sic potuissemus invenire: aae, ax seu a a aequ a + ab. hive a b aequ ax- a
habe
ab aequ. ad tabr-
abapintim) et ab X seu a ab, aequ. a b + 3adc. sive a b aequi ab X - 3 abc et a x. ad 7 alx. 3abe
Pergamus eadem via: aex seu a a’ aequ. a + ab. seu ab aqu. a4 - a
et abcX seu a bex a bc + a abcd. Ergo abc aequ. abc X - 4 ab cd. et x
set (a bX, seu) ab X - 3 abcX d  seu aX - a X, aequ aeb + a b+ a be
5)
Ergo ab aeqo abX - 4abe X - a b + 4 abcd
vel.. aequ aN - a X - abcX = a l + 4 ab cd
Ellobimd abc equ abX - a X - 3abex + a- ab
vel .. aequ a X - 2aX +  + a- si su
aX- a abcX - Labed
aequ ax - a
 aequ abcx- 2abi d
Denique supra habuimus aequationem: a X- a equ ab X - 3 abc
fiet a X - ab X aequ a X = 3 abe X
(10)
a4 at - abc - deabed
a Sgubitetnau
Ergo a b aequ a x = ab X + 3 ab X - a
(11)
sl 3bc agu - a X + ab X 4 a X + 12 abcd
ex aequ. 4. 6. 7. 10
ita habemus, quatuor valores ipsius, a b. et totidem apsius abc. x aegu 5. 8. 9. 11
atque ita tandelus rem altius ad quintum scilicet gradum stromovere
licebit.
ab aequ. a X - a
12  4,1 -a
ab aequ. a X - ab X + 3a bcX- a
1 +4, 16 - 6, 16 13, 4, 4 - 4
14 296 +48
ab aequ. a N - aX - abc X - 2a b + 4 abid
64 - 16 - 16 - 12 + 4
100
iaqu
al apo
abaequ. X
s